Write the ordered pair whose first entry is 7 and second entry is a
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Two ordered pairs (a, b) and (c, d) are equal if a = c and b = d, i.e., (a, b) = (c, d). Find the values of x and y, if (2x - 3, y + 1) = (x + 5, 7)
Solution:
By equality of ordered pairs, we have
2x - 3 = x + 5 and y + 1 = 7
⇒ 2x - x = 5 + 3 ⇒ x = 8 and y = 7 - 1 ⇒ y
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